Tight wavelet frames generated by three symmetric $B$-spline functions with high vanishing moments

DOI10.1090/S0002-9939-03-07205-8zbMath1040.42030MaRDI QIDQ4429708

Qun Mo, Bin Han

Publication date: 28 September 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

vanishing moments\(B\)-spline functionssymmetric tight wavelet frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spline approximation (41A15)

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Nonstationary tight wavelet frames. I: Bounded intervals ⋮ Dual Gramian analysis: Duality principle and unitary extension principle ⋮ Four-channel tight wavelet frames design using Bernstein polynomial ⋮ Symmetric tight framelet filter banks with three high-pass filters ⋮ Matrix splitting with symmetry and dyadic framelet filter banks over algebraic number fields ⋮ Nonstationary tight wavelet frames. II: Unbounded intervals ⋮ Symmetric MRA tight wavelet frames with three generators and high vanishing moments ⋮ Symmetric tight wavelet frames with rational coefficients ⋮ Symmetric and antisymmetric tight wavelet frames ⋮ Compactly supported Parseval framelets with symmetry associated to \(E_d^{(2)}(\mathbb{Z})\) matrices ⋮ Compactly supported tight and sibling frames based on generalized Bernstein polynomials ⋮ Dual multiwavelet frames with high balancing order and compact fast frame transform

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